Which one of the following options contains two solutions of the differential equation $\frac{{dy}}{{dx}} = \left( {y - 1} \right)x?$

Question

Which one of the following options contains two solutions of the differential equation $\frac{{dy}}{{dx}} = \left( {y - 1} \right)x?$

TuteeHUB · Accepted Answer

In {y - 1} = 2x2 + C and y = 1

TuteeHUB · Answer

In |y - 1| = 0.5 x2 + C and y = 1

TuteeHUB · Answer

In |y - 1| = 0.5 x2 + C and y = -1

TuteeHUB · Answer

In |y - 1| = 2x2 + C and y = -1

1.	Which one of the following options contains two solutions of the differential equation \(\frac{{dy}}{{dx}} = \left( {y - 1} \right)x?\)
A.	In \|y - 1\| = 0.5 x2 + C and y = 1
B.	In {y - 1} = 2x2 + C and y = 1
C.	In \|y - 1\| = 0.5 x2 + C and y = -1
D.	In \|y - 1\| = 2x2 + C and y = -1
Answer» B. In {y - 1} = 2x2 + C and y = 1

Which one of the following options contains two solutions of the differential equation \(\frac{{dy}}{{dx}} = \left( {y - 1} \right)x?\)